Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

1/5*x-3/5 == 2/3*x-2

⇒ algebra.equations.linear.balance.remove-div, factor=15

3*x-9 == 10*x-30

⇒ algebra.equations.linear.balance.var-right-minus, term=3*x

-9 == 7*x-30

⇒ algebra.equations.linear.balance.con-left-plus, term=30

21 == 7*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=7

3 == x

⇒ algebra.equations.linear.flip

x == 3